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author | Andreas Jaeger <aj@suse.de> | 2002-06-20 08:34:01 +0000 |
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committer | Andreas Jaeger <aj@suse.de> | 2002-06-20 08:34:01 +0000 |
commit | 1af437d6368694a0aea5f9ad1daec66bee2dd673 (patch) | |
tree | e80bc58625f6b3c040d76281a851a78c888d29f2 /sysdeps | |
parent | 2550dfe944e657a0f006c55cc238ce65423d7101 (diff) | |
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Update.
2002-06-20 Andreas Jaeger <aj@suse.de>
* math/libm-test.inc: Use exact values as input parameters,
compute output parameters with 36 digits for 128-bit long doubles.
* sysdeps/i386/fpu/libm-test-ulps: Regenerated.
* sysdeps/x86-64/fpu/libm-test-ulps: Regenerated.
Diffstat (limited to 'sysdeps')
-rw-r--r-- | sysdeps/i386/fpu/libm-test-ulps | 1387 | ||||
-rw-r--r-- | sysdeps/x86_64/fpu/libm-test-ulps | 12 |
2 files changed, 444 insertions, 955 deletions
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps index 76fb9f26f3..7b42bc4e66 100644 --- a/sysdeps/i386/fpu/libm-test-ulps +++ b/sysdeps/i386/fpu/libm-test-ulps @@ -1,139 +1,64 @@ # Begin of automatic generation # acos -Test "acos (0.7) == 0.7953988301841435554": -ildouble: 1150 -ldouble: 1150 - -# acosh -Test "acosh (7) == 2.633915793849633417250092694615937": -ldouble: 1 -ildouble: 1 +Test "acos (0.0625) == 1.50825556499840522843072005474337068": +ildouble: 622 +ldouble: 622 # asin -Test "asin (0.5) == pi/6": -ldouble: 1 -ildouble: 1 Test "asin (-0.5) == -pi/6": ldouble: 1 -ildouble: 1 -Test "asin (1.0) == pi/2": -ldouble: 1 -ildouble: 1 Test "asin (-1.0) == -pi/2": ldouble: 1 -ildouble: 1 -Test "asin (0.7) == 0.77539749661075306374035335271498708": -double: 1 +Test "asin (0.5) == pi/6": ldouble: 1 -ildouble: 1 - -# asinh -Test "asinh (0.7) == 0.652666566082355786": -ildouble: 656 -ldouble: 656 - -# atan -Test "atan (0.7) == 0.61072596438920861654375887649023613": -ildouble: 549 -ldouble: 549 - -# atan2 -Test "atan2 (0.4, 0.0003) == 1.5700463269355215717704032607580829": -ildouble: 1 +Test "asin (0.75) == 0.848062078981481008052944338998418080": +ldouble: 1 +Test "asin (1.0) == pi/2": ldouble: 1 -Test "atan2 (0.7, 1) == 0.61072596438920861654375887649023613": -ildouble: 549 -ldouble: 549 # atanh -Test "atanh (0.7) == 0.8673005276940531944": -double: 1 -idouble: 1 -ildouble: 1605 -ldouble: 1605 - -# cabs -Test "cabs (-0.7 + 12.4 i) == 12.419742348374220601176836866763271": -float: 1 -ifloat: 1 -Test "cabs (-0.7 - 12.4 i) == 12.419742348374220601176836866763271": -float: 1 -ifloat: 1 -Test "cabs (-12.4 + 0.7 i) == 12.419742348374220601176836866763271": -float: 1 -ifloat: 1 -Test "cabs (-12.4 - 0.7 i) == 12.419742348374220601176836866763271": -float: 1 -ifloat: 1 -Test "cabs (0.7 + 1.2 i) == 1.3892443989449804508432547041028554": -double: 1 -idouble: 1 -ildouble: 560 -ldouble: 560 -Test "cabs (0.7 + 12.4 i) == 12.419742348374220601176836866763271": -float: 1 -ifloat: 1 +Test "atanh (0.75) == 0.972955074527656652552676371721589865": +ildouble: 2 +ldouble: 1 # cacos -Test "Real part of: cacos (-2 - 3 i) == 2.1414491111159960199416055713254211 + 1.9833870299165354323470769028940395 i": -Test "Imaginary part of: cacos (-2 - 3 i) == 2.1414491111159960199416055713254211 + 1.9833870299165354323470769028940395 i": -ildouble: 1 -ldouble: 1 -Test "Real part of: cacos (0.7 + 1.2 i) == 1.1351827477151551088992008271819053 - 1.0927647857577371459105272080819308 i": -double: 1 +Test "Imaginary part of: cacos (0.75 + 1.25 i) == 1.11752014915610270578240049553777969 - 1.13239363160530819522266333696834467 i": float: 1 -idouble: 1 ifloat: 1 -ildouble: 151 -ldouble: 151 -Test "Imaginary part of: cacos (0.7 + 1.2 i) == 1.1351827477151551088992008271819053 - 1.0927647857577371459105272080819308 i": -float: 2 -ifloat: 2 -ildouble: 329 -ldouble: 329 +ildouble: 2 +ldouble: 2 # cacosh Test "Real part of: cacosh (-2 - 3 i) == -1.9833870299165354323470769028940395 + 2.1414491111159960199416055713254211 i": double: 1 -float: 4 +float: 9 idouble: 1 -ifloat: 4 +ifloat: 9 ildouble: 6 ldouble: 6 Test "Imaginary part of: cacosh (-2 - 3 i) == -1.9833870299165354323470769028940395 + 2.1414491111159960199416055713254211 i": double: 1 -float: 4 idouble: 1 -ifloat: 4 ildouble: 1 ldouble: 1 -Test "Real part of: cacosh (0.7 + 1.2 i) == 1.0927647857577371459105272080819308 + 1.1351827477151551088992008271819053 i": -double: 1 -idouble: 1 -ildouble: 328 -ldouble: 328 -Test "Imaginary part of: cacosh (0.7 + 1.2 i) == 1.0927647857577371459105272080819308 + 1.1351827477151551088992008271819053 i": -ildouble: 151 -ldouble: 151 - -# casin -Test "Real part of: casin (-2 - 3 i) == -0.57065278432109940071028387968566963 - 1.9833870299165354323470769028940395 i": -Test "Imaginary part of: casin (-2 - 3 i) == -0.57065278432109940071028387968566963 - 1.9833870299165354323470769028940395 i": +Test "Real part of: cacosh (0.75 + 1.25 i) == 1.13239363160530819522266333696834467 + 1.11752014915610270578240049553777969 i": ildouble: 1 ldouble: 1 -Test "Real part of: casin (0.7 + 1.2 i) == 0.4356135790797415103321208644578462 + 1.0927647857577371459105272080819308 i": -double: 3 -float: 2 -idouble: 3 -ifloat: 2 -ildouble: 603 -ldouble: 603 -Test "Imaginary part of: casin (0.7 + 1.2 i) == 0.4356135790797415103321208644578462 + 1.0927647857577371459105272080819308 i": -float: 2 -ifloat: 2 -ildouble: 329 -ldouble: 329 + +# casin +Test "Real part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "Imaginary part of: casin (0.75 + 1.25 i) == 0.453276177638793913448921196101971749 + 1.13239363160530819522266333696834467 i": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 # casinh Test "Real part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i": @@ -141,41 +66,30 @@ double: 5 float: 1 idouble: 5 ifloat: 1 -ildouble: 6 -ldouble: 6 +ildouble: 5 +ldouble: 5 Test "Imaginary part of: casinh (-2 - 3 i) == -1.9686379257930962917886650952454982 - 0.96465850440760279204541105949953237 i": double: 3 float: 6 idouble: 3 ifloat: 6 -ildouble: 6 -ldouble: 6 -Test "Real part of: casinh (0.7 + 1.2 i) == 0.97865459559367387689317593222160964 + 0.91135418953156011567903546856170941 i": -ildouble: 892 -ldouble: 892 -Test "Imaginary part of: casinh (0.7 + 1.2 i) == 0.97865459559367387689317593222160964 + 0.91135418953156011567903546856170941 i": +ildouble: 5 +ldouble: 5 +Test "Real part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i": float: 1 ifloat: 1 -ildouble: 12 -ldouble: 12 +Test "Imaginary part of: casinh (0.75 + 1.25 i) == 1.03171853444778027336364058631006594 + 0.911738290968487636358489564316731207 i": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 # catan -Test "Real part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": Test "Imaginary part of: catan (-2 - 3 i) == -1.4099210495965755225306193844604208 - 0.22907268296853876629588180294200276 i": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 7 -ldouble: 7 -Test "Real part of: catan (0.7 + 1.2 i) == 1.0785743834118921877443707996386368 + 0.57705737765343067644394541889341712 i": -ildouble: 251 -ldouble: 251 -Test "Imaginary part of: catan (0.7 + 1.2 i) == 1.0785743834118921877443707996386368 + 0.57705737765343067644394541889341712 i": -float: 1 -ifloat: 1 -ildouble: 474 -ldouble: 474 # catanh Test "Real part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": @@ -183,56 +97,36 @@ double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 6 -ldouble: 6 -Test "Imaginary part of: catanh (-2 - 3 i) == -0.14694666622552975204743278515471595 - 1.3389725222944935611241935759091443 i": -Test "Real part of: catanh (0.7 + 1.2 i) == 0.2600749516525135959200648705635915 + 0.97024030779509898497385130162655963 i": +ildouble: 1 +ldouble: 1 +Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i": double: 1 idouble: 1 -ildouble: 66 -ldouble: 66 -Test "Imaginary part of: catanh (0.7 + 1.2 i) == 0.2600749516525135959200648705635915 + 0.97024030779509898497385130162655963 i": -ildouble: 447 -ldouble: 447 # cbrt -Test "cbrt (-0.001) == -0.1": -ildouble: 716 -ldouble: 716 Test "cbrt (-27.0) == -3.0": ildouble: 1 ldouble: 1 -Test "cbrt (0.7) == 0.8879040017426007084": -double: 1 -idouble: 1 -ildouble: 346 -ldouble: 346 -Test "cbrt (0.970299) == 0.99": -ildouble: 306 -ldouble: 306 +Test "cbrt (0.75) == 0.908560296416069829445605878163630251": +ildouble: 1 +ldouble: 1 # ccos -Test "Real part of: ccos (-2 - 3 i) == -4.1896256909688072301 - 9.1092278937553365979 i": Test "Imaginary part of: ccos (-2 - 3 i) == -4.1896256909688072301 - 9.1092278937553365979 i": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Test "Real part of: ccos (0.7 + 1.2 i) == 1.3848657645312111080 - 0.97242170335830028619 i": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 5 -ldouble: 5 -Test "Imaginary part of: ccos (0.7 + 1.2 i) == 1.3848657645312111080 - 0.97242170335830028619 i": +Test "Real part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": double: 1 idouble: 1 -ildouble: 1901 -ldouble: 1901 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: ccos (0.75 + 1.25 i) == 1.38173873063425888530729933139078645 - 1.09193013555397466170919531722024128 i": +ildouble: 1 +ldouble: 1 # ccosh -Test "Real part of: ccosh (-2 - 3 i) == -3.7245455049153225654 + 0.5118225699873846088 i": Test "Imaginary part of: ccosh (-2 - 3 i) == -3.7245455049153225654 + 0.5118225699873846088 i": double: 1 float: 1 @@ -240,141 +134,114 @@ idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Test "Real part of: ccosh (0.7 + 1.2 i) == 0.4548202223691477654 + 0.7070296600921537682 i": +Test "Real part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1467 -ldouble: 1467 -Test "Imaginary part of: ccosh (0.7 + 1.2 i) == 0.4548202223691477654 + 0.7070296600921537682 i": -ildouble: 1183 -ldouble: 1183 +Test "Imaginary part of: ccosh (0.75 + 1.25 i) == 0.408242591877968807788852146397499084 + 0.780365930845853240391326216300863152 i": +float: 1 +ifloat: 1 # cexp Test "Real part of: cexp (-2.0 - 3.0 i) == -0.13398091492954261346140525546115575 - 0.019098516261135196432576240858800925 i": -ildouble: 4 -ldouble: 4 +ildouble: 1 +ldouble: 1 Test "Imaginary part of: cexp (-2.0 - 3.0 i) == -0.13398091492954261346140525546115575 - 0.019098516261135196432576240858800925 i": -ildouble: 18 -ldouble: 18 -Test "Real part of: cexp (0.7 + 1.2 i) == 0.72969890915032360123451688642930727 + 1.8768962328348102821139467908203072 i": -float: 1 -ifloat: 1 -ildouble: 940 -ldouble: 940 -Test "Imaginary part of: cexp (0.7 + 1.2 i) == 0.7296989091503236012 + 1.8768962328348102821 i": -ildouble: 1067 -ldouble: 1067 +ildouble: 1 +ldouble: 1 +Test "Real part of: cexp (0.75 + 1.25 i) == 0.667537446429131586942201977015932112 + 2.00900045494094876258347228145863909 i": +ildouble: 201 +ldouble: 201 # clog -Test "Real part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": -Test "Imaginary part of: clog (-2 - 3 i) == 1.2824746787307683680267437207826593 - 2.1587989303424641704769327722648368 i": +Test "Real part of: clog (0.75 + 1.25 i) == 0.376885901188190075998919126749298416 + 1.03037682652431246378774332703115153 i": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 # clog10 -Test "Real part of: clog10 (-0 + inf i) == inf + pi/2*log10(e) i": Test "Imaginary part of: clog10 (-0 + inf i) == inf + pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-0 - inf i) == inf - pi/2*log10(e) i": Test "Imaginary part of: clog10 (-0 - inf i) == inf - pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-2 - 3 i) == 0.5569716761534183846 - 0.9375544629863747085 i": Test "Imaginary part of: clog10 (-2 - 3 i) == 0.5569716761534183846 - 0.9375544629863747085 i": double: 1 idouble: 1 ildouble: 1 ldouble: 1 -Test "Real part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": Test "Imaginary part of: clog10 (-3 + inf i) == inf + pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-3 - inf i) == inf - pi/2*log10(e) i": Test "Imaginary part of: clog10 (-3 - inf i) == inf - pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-inf + 0 i) == inf + pi*log10(e) i": Test "Imaginary part of: clog10 (-inf + 0 i) == inf + pi*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-inf + 1 i) == inf + pi*log10(e) i": Test "Imaginary part of: clog10 (-inf + 1 i) == inf + pi*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-inf + inf i) == inf + 3/4 pi*log10(e) i": Test "Imaginary part of: clog10 (-inf + inf i) == inf + 3/4 pi*log10(e) i": double: 1 idouble: 1 -Test "Real part of: clog10 (-inf - 0 i) == inf - pi*log10(e) i": Test "Imaginary part of: clog10 (-inf - 0 i) == inf - pi*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (-inf - 1 i) == inf - pi*log10(e) i": Test "Imaginary part of: clog10 (-inf - 1 i) == inf - pi*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (0 + inf i) == inf + pi/2*log10(e) i": Test "Imaginary part of: clog10 (0 + inf i) == inf + pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (0 - inf i) == inf - pi/2*log10(e) i": Test "Imaginary part of: clog10 (0 - inf i) == inf - pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (0.7 + 1.2 i) == 0.1427786545038868803 + 0.4528483579352493248 i": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 1403 -ldouble: 1403 -Test "Imaginary part of: clog10 (0.7 + 1.2 i) == 0.1427786545038868803 + 0.4528483579352493248 i": +Test "Real part of: clog10 (0.75 + 1.25 i) == 0.163679467193165171449476605077428975 + 0.447486970040493067069984724340855636 i": double: 1 +float: 1 idouble: 1 -ildouble: 186 -ldouble: 186 -Test "Real part of: clog10 (3 + inf i) == inf + pi/2*log10(e) i": +ifloat: 1 +ildouble: 1 +ldouble: 1 Test "Imaginary part of: clog10 (3 + inf i) == inf + pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (3 - inf i) == inf - pi/2*log10(e) i": Test "Imaginary part of: clog10 (3 - inf i) == inf - pi/2*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (inf + inf i) == inf + pi/4*log10(e) i": Test "Imaginary part of: clog10 (inf + inf i) == inf + pi/4*log10(e) i": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "Real part of: clog10 (inf - inf i) == inf - pi/4*log10(e) i": Test "Imaginary part of: clog10 (inf - inf i) == inf - pi/4*log10(e) i": double: 1 float: 1 @@ -382,65 +249,89 @@ idouble: 1 ifloat: 1 # cos -Test "cos (0.7) == 0.76484218728448842625585999019186495": -double: 1 -idouble: 1 -ildouble: 529 -ldouble: 529 Test "cos (M_PI_6l * 2.0) == 0.5": double: 1 -float: 0.5 +float: 1 idouble: 1 -ifloat: 0.5 +ifloat: 1 Test "cos (M_PI_6l * 4.0) == -0.5": double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 0.5 -ldouble: 0.5 +ildouble: 1 +ldouble: 1 Test "cos (pi/2) == 0": -double: 0.2758 -float: 0.3667 -idouble: 0.2758 -ifloat: 0.3667 -ildouble: 0.25 -ldouble: 0.25 +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 # cosh -Test "cosh (0.7) == 1.255169005630943018": -ildouble: 309 -ldouble: 309 +Test "cosh (0.75) == 1.29468328467684468784170818539018176": +ildouble: 1 # cpow +Test "Real part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": +float: 1 +ifloat: 1 +ildouble: 587 +ldouble: 587 +Test "Imaginary part of: cpow (0.75 + 1.25 i, 0.0 + 1.0 i) == 0.331825439177608832276067945276730566 + 0.131338600281188544930936345230903032 i": +ildouble: 1 +ldouble: 1 +Test "Real part of: cpow (0.75 + 1.25 i, 0.75 + 1.25 i) == 0.117506293914473555420279832210420483 + 0.346552747708338676483025352060418001 i": +float: 3 +ifloat: 3 +ildouble: 763 +ldouble: 763 +Test "Imaginary part of: cpow (0.75 + 1.25 i, 0.75 + 1.25 i) == 0.117506293914473555420279832210420483 + 0.346552747708338676483025352060418001 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Real part of: cpow (0.75 + 1.25 i, 1.0 + 0.0 i) == 0.75 + 1.25 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: cpow (0.75 + 1.25 i, 1.0 + 0.0 i) == 0.75 + 1.25 i": +float: 1 +ifloat: 1 +Test "Real part of: cpow (0.75 + 1.25 i, 1.0 + 1.0 i) == 0.0846958290317209430433805274189191353 + 0.513285749182902449043287190519090481 i": +double: 1 +float: 3 +idouble: 1 +ifloat: 3 +ildouble: 370 +ldouble: 370 Test "Real part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": double: 1 float: 4 idouble: 1 ifloat: 4 -ldouble: 2 -ildouble: 2 Test "Imaginary part of: cpow (2 + 3 i, 4 + 0 i) == -119.0 - 120.0 i": float: 1 ifloat: 1 -ildouble: 5 -ldouble: 5 -Test "Real part of: cpow (e + 0 i, 0 + 2 * M_PIl i) == 1.0 + 0.0 i": +ildouble: 2 +ldouble: 2 Test "Imaginary part of: cpow (e + 0 i, 0 + 2 * M_PIl i) == 1.0 + 0.0 i": -double: 1.104 -float: 2.5333 -idouble: 1.104 -ifloat: 2.5333 -ildouble: 9 -ldouble: 9 +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 1 +ldouble: 1 # csin -Test "Real part of: csin (0.7 + 1.2 i) == 1.1664563419657581376 + 1.1544997246948547371 i": -ildouble: 966 -ldouble: 966 -Test "Imaginary part of: csin (0.7 + 1.2 i) == 1.1664563419657581376 + 1.1544997246948547371 i": -ildouble: 168 -ldouble: 168 +Test "Real part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: csin (0.75 + 1.25 i) == 1.28722291002649188575873510790565441 + 1.17210635989270256101081285116138863 i": +float: 1 +ifloat: 1 # csinh Test "Real part of: csinh (-2 - 3 i) == 3.5905645899857799520 - 0.5309210862485198052 i": @@ -453,34 +344,14 @@ idouble: 1 ifloat: 1 ildouble: 2 ldouble: 2 -Test "Real part of: csinh (0.7 + 1.2 i) == 0.27487868678117583582 + 1.1698665727426565139 i": -double: 1 +Test "Real part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": float: 1 -idouble: 1 ifloat: 1 -ildouble: 413 -ldouble: 413 -Test "Imaginary part of: csinh (0.7 + 1.2 i) == 0.27487868678117583582 + 1.1698665727426565139 i": -ildouble: 477 -ldouble: 477 - -# csqrt -Test "Real part of: csqrt (-2 + 3 i) == 0.89597747612983812471573375529004348 + 1.6741492280355400404480393008490519 i": -ildouble: 1 -ldouble: 1 -Test "Imaginary part of: csqrt (-2 + 3 i) == 0.89597747612983812471573375529004348 + 1.6741492280355400404480393008490519 i": -Test "Real part of: csqrt (-2 - 3 i) == 0.89597747612983812471573375529004348 - 1.6741492280355400404480393008490519 i": ildouble: 1 ldouble: 1 -Test "Imaginary part of: csqrt (-2 - 3 i) == 0.89597747612983812471573375529004348 - 1.6741492280355400404480393008490519 i": -Test "Real part of: csqrt (0.7 + 1.2 i) == 1.022067610030026450706487883081139 + 0.58704531296356521154977678719838035 i": -double: 1 -idouble: 1 -ildouble: 237 -ldouble: 237 -Test "Imaginary part of: csqrt (0.7 + 1.2 i) == 1.022067610030026450706487883081139 + 0.58704531296356521154977678719838035 i": -ildouble: 128 -ldouble: 128 +Test "Imaginary part of: csinh (0.75 + 1.25 i) == 0.259294854551162779153349830618433028 + 1.22863452409509552219214606515777594 i": +float: 1 +ifloat: 1 # ctan Test "Real part of: ctan (-2 - 3 i) == 0.0037640256415042482 - 1.0032386273536098014 i": @@ -491,18 +362,14 @@ float: 1 ifloat: 1 ildouble: 2 ldouble: 2 -Test "Real part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i": -double: 1 +Test "Real part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": +ildouble: 1 +ldouble: 1 +Test "Imaginary part of: ctan (0.75 + 1.25 i) == 0.160807785916206426725166058173438663 + 0.975363285031235646193581759755216379 i": float: 1 -idouble: 1 ifloat: 1 -ildouble: 690 -ldouble: 690 -Test "Imaginary part of: ctan (0.7 + 1.2 i) == 0.1720734197630349001 + 0.9544807059989405538 i": -double: 1 -idouble: 1 -ildouble: 367 -ldouble: 367 +ildouble: 3 +ldouble: 3 # ctanh Test "Real part of: ctanh (-2 - 3 i) == -0.9653858790221331242 + 0.0098843750383224937 i": @@ -513,447 +380,272 @@ float: 1 ifloat: 1 ildouble: 25 ldouble: 25 -Test "Real part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i": Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i": float: 1 ifloat: 1 -double: 0.5 -idouble: 0.5 -Test "Real part of: ctanh (0.7 + 1.2 i) == 1.3472197399061191630 + 0.4778641038326365540 i": +Test "Real part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": float: 1 ifloat: 1 -ildouble: 286 -ldouble: 286 -Test "Imaginary part of: ctanh (0.7 + 1.2 i) == 1.3472197399061191630 + 0.4778641038326365540 i": +Test "Imaginary part of: ctanh (0.75 + 1.25 i) == 1.37260757053378320258048606571226857 + 0.385795952609750664177596760720790220 i": double: 1 +float: 1 idouble: 1 -ildouble: 3074 -ldouble: 3074 +ifloat: 1 +ildouble: 1 +ldouble: 1 -# erfc -Test "erfc (0.7) == 0.32219880616258152702": +# erf +Test "erf (1.25) == 0.922900128256458230136523481197281140": double: 1 idouble: 1 -ldouble: 1 + +# erfc +Test "erfc (1.25) == 0.0770998717435417698634765188027188596": ildouble: 1 -Test "erfc (1.2) == 0.089686021770364619762": -float: 1 +ldouble: 1 +Test "erfc (2.0) == 0.00467773498104726583793074363274707139": double: 1 idouble: 1 -ifloat: 1 -ldouble: 3 -ildouble: 3 -Test "erfc (2.0) == 0.0046777349810472658379": +Test "erfc (4.125) == 0.542340079956506600531223408575531062e-8": double: 1 idouble: 1 -Test "erfc (4.1) == 0.67000276540848983727e-8": -double: 24 -float: 12 -idouble: 24 -ifloat: 12 -ldouble: 12 -ildouble: 12 -Test "erfc (9) == 0.41370317465138102381e-36": -ldouble: 36 -ildouble: 36 +ildouble: 1 +ldouble: 1 # exp -Test "exp (0.7) == 2.0137527074704765216": -ildouble: 412 -ldouble: 412 -Test "exp (50.0) == 5184705528587072464087.45332293348538": -ildouble: 16 -ldouble: 16 +Test "exp (0.75) == 2.11700001661267466854536981983709561": +ildouble: 1 Test "exp (1000.0) == 0.197007111401704699388887935224332313e435": -ildouble: 754 -ldouble: 754 +ildouble: 754 +Test "exp (50.0) == 5184705528587072464087.45332293348538": +ildouble: 16 # exp10 Test "exp10 (-1) == 0.1": -ildouble: 818 -ldouble: 818 -Test "exp10 (0.7) == 5.0118723362727228500155418688494574": -double: 1 -idouble: 1 -ildouble: 1182 -ldouble: 1182 +ildouble: 1 +ldouble: 1 +Test "exp10 (0.75) == 5.62341325190349080394951039776481231": +ildouble: 2 +ldouble: 2 Test "exp10 (3) == 1000": ildouble: 8 ldouble: 8 -# exp2 -Test "exp2 (0.7) == 1.6245047927124710452": -ildouble: 462 -ldouble: 462 - -# expm1 -Test "expm1 (0.7) == 1.0137527074704765216": -ildouble: 825 -ldouble: 825 - -# fmod -Test "fmod (-6.5, -2.3) == -1.9": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 4096 -ldouble: 4096 -Test "fmod (-6.5, 2.3) == -1.9": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 4096 -ldouble: 4096 -Test "fmod (6.5, -2.3) == 1.9": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 4096 -ldouble: 4096 -Test "fmod (6.5, 2.3) == 1.9": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 4096 -ldouble: 4096 - # gamma Test "gamma (-0.5) == log(2*sqrt(pi))": double: 1 idouble: 1 -ldouble: 1 ildouble: 1 +ldouble: 1 # hypot Test "hypot (-0.7, -12.4) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 Test "hypot (-0.7, 12.4) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 Test "hypot (-12.4, -0.7) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 Test "hypot (-12.4, 0.7) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 Test "hypot (0.7, -12.4) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 -Test "hypot (0.7, 1.2) == 1.3892443989449804508432547041028554": -double: 1 -ildouble: 560 -ldouble: 560 Test "hypot (0.7, 12.4) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 Test "hypot (12.4, -0.7) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 Test "hypot (12.4, 0.7) == 12.419742348374220601176836866763271": float: 1 -ildouble: 406 -ldouble: 406 # j0 -Test "j0 (10.0) == -0.24593576445134833520": -float: 1 -ifloat: 1 -Test "j0 (2.0) == 0.22389077914123566805": +Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": +double: 1 float: 1 +idouble: 1 ifloat: 1 +ildouble: 1 +ldouble: 1 +Test "j0 (10.0) == -0.245935764451348335197760862485328754": double: 1 +float: 1 idouble: 1 -Test "j0 (8.0) == 0.17165080713755390609": +ifloat: 1 +Test "j0 (2.0) == 0.223890779141235668051827454649948626": float: 1 ifloat: 1 -Test "j0 (10.0) == -0.24593576445134833520": -double: 2 -idouble: 2 Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 1 -ldouble: 1 -Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": -double: 1 -float: 1 +float: 1 idouble: 1 -ifloat: 1 +ifloat: 1 ildouble: 1 ldouble: 1 - +Test "j0 (8.0) == 0.171650807137553906090869407851972001": +float: 1 +ifloat: 1 # j1 -Test "j1 (10.0) == 0.043472746168861436670": +Test "j1 (10.0) == 0.0434727461688614366697487680258592883": float: 1 ifloat: 1 -double: 2 -idouble: 2 -ldouble: 2 -ildouble: 2 -Test "j1 (2.0) == 0.57672480775687338720": +ildouble: 1 +ldouble: 1 +Test "j1 (2.0) == 0.576724807756873387202448242269137087": double: 1 idouble: 1 -Test "j1 (8.0) == 0.23463634685391462438": +Test "j1 (8.0) == 0.234636346853914624381276651590454612": float: 1 ifloat: 1 -ldouble: 1 ildouble: 1 +ldouble: 1 # jn -Test "jn (0, 10.0) == -0.24593576445134833520": +Test "jn (0, -4.0) == -3.9714980986384737228659076845169804197562E-1": +double: 1 float: 1 +idouble: 1 ifloat: 1 -double: 2 -idouble: 2 -ldouble: 2 -ildouble: 2 -Test "jn (0, 2.0) == 0.22389077914123566805": +ildouble: 1 +ldouble: 1 +Test "jn (0, 10.0) == -0.245935764451348335197760862485328754": +double: 1 float: 1 +idouble: 1 ifloat: 1 +Test "jn (0, 2.0) == 0.223890779141235668051827454649948626": +float: 1 +ifloat: 1 +Test "jn (0, 4.0) == -3.9714980986384737228659076845169804197562E-1": double: 1 -idouble: 1 -Test "jn (0, 8.0) == 0.17165080713755390609": float: 1 +idouble: 1 ifloat: 1 -ldouble: 1 ildouble: 1 -Test "jn (1, 10.0) == 0.043472746168861436670": +ldouble: 1 +Test "jn (0, 8.0) == 0.171650807137553906090869407851972001": float: 1 ifloat: 1 -double: 2 -idouble: 2 -ldouble: 2 -ildouble: 2 -Test "jn (1, 2.0) == 0.57672480775687338720": -double: 1 -idouble: 1 -Test "jn (1, 8.0) == 0.23463634685391462438": +Test "jn (1, 10.0) == 0.0434727461688614366697487680258592883": float: 1 ifloat: 1 -ldouble: 1 ildouble: 1 -Test "jn (10, -1.0) == 0.26306151236874532070e-9": +ldouble: 1 +Test "jn (1, 2.0) == 0.576724807756873387202448242269137087": double: 1 -float: 1 idouble: 1 +Test "jn (1, 8.0) == 0.234636346853914624381276651590454612": +float: 1 ifloat: 1 -ldouble: 1 ildouble: 1 -Test "jn (10, 0.1) == 0.26905328954342155795e-19": -double: 5 -float: 2 -idouble: 5 -ifloat: 2 ldouble: 1 +Test "jn (10, -1.0) == 0.263061512368745320699785368779050294e-9": +double: 1 +idouble: 1 ildouble: 1 -Test "jn (10, 0.7) == 0.75175911502153953928e-11": -double: 4 +ldouble: 1 +Test "jn (10, 0.125) == 0.250543369809369890173993791865771547e-18": float: 1 -idouble: 4 ifloat: 1 -ldouble: 2 -ildouble: 2 -Test "jn (10, 1.0) == 0.26306151236874532070e-9": +Test "jn (10, 0.75) == 0.149621713117596814698712483621682835e-10": float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 +Test "jn (10, 1.0) == 0.263061512368745320699785368779050294e-9": double: 1 idouble: 1 -ifloat: 1 -ldouble: 1 ildouble: 1 -Test "jn (10, 2.0) == 0.25153862827167367096e-6": -float: 1 -ifloat: 1 -double: 2 -idouble: 2 ldouble: 1 -ildouble: 1 -Test "jn (10, 10.0) == 0.20748610663335885770": +Test "jn (10, 10.0) == 0.207486106633358857697278723518753428": +double: 1 float: 2 +idouble: 1 ifloat: 2 -double: 4 -idouble: 4 -ldouble: 2 ildouble: 2 -Test "jn (3, 0.1) == 0.000020820315754756261429": -double: 1 -idouble: 1 +ldouble: 2 +Test "jn (10, 2.0) == 0.251538628271673670963516093751820639e-6": +ildouble: 1 ldouble: 1 +Test "jn (3, -1.0) == -0.0195633539826684059189053216217515083": ildouble: 1 -Test "jn (3, 0.7) == 0.0069296548267508408077": -double: 2 -idouble: 2 -Test "jn (3, 2.0) == 0.12894324947440205110": +ldouble: 1 +Test "jn (3, 0.75) == 0.848438342327410884392755236884386804e-2": float: 1 ifloat: 1 +Test "jn (3, 1.0) == 0.0195633539826684059189053216217515083": +ildouble: 1 +ldouble: 1 +Test "jn (3, 10.0) == 0.0583793793051868123429354784103409563": double: 1 -idouble: 1 -Test "jn (3, 10.0) == 0.058379379305186812343": float: 1 +idouble: 1 ifloat: 1 -double: 3 -idouble: 3 -ldouble: 1 ildouble: 1 -Test "jn (3, -1.0) == -0.019563353982668405919": ldouble: 1 +Test "jn (3, 2.0) == 0.128943249474402051098793332969239835": ildouble: 1 -Test "jn (3, 1.0) == 0.019563353982668405919": ldouble: 1 -ildouble: 1 # lgamma Test "lgamma (-0.5) == log(2*sqrt(pi))": double: 1 idouble: 1 -ldouble: 1 ildouble: 1 +ldouble: 1 Test "lgamma (0.7) == 0.26086724653166651439": -double: 1 float: 1 -idouble: 1 ifloat: 1 Test "lgamma (1.2) == -0.853740900033158497197e-1": double: 1 float: 2 idouble: 1 ifloat: 2 -ldouble: 1 ildouble: 1 +ldouble: 1 # log -Test "log (1.0 / M_El) == -1": -ldouble: 1 -ildouble: 1 -Test "log (0.7) == -0.35667494393873237891263871124118447": -double: 1 +Test "log (e) == 1": float: 1 -idouble: 1 ifloat: 1 -ildouble: 2341 -ldouble: 2341 -Test "log (e) == 1": -float: 0.5 -ifloat: 0.5 -ildouble: 1 -ldouble: 1 # log10 -Test "log10 (0.7) == -0.15490195998574316929": -double: 1 -idouble: 1 -ildouble: 2033 -ldouble: 2033 +Test "log10 (0.75) == -0.124938736608299953132449886193870744": +ildouble: 1 +ldouble: 1 Test "log10 (e) == log10(e)": float: 1 ifloat: 1 ildouble: 1 ldouble: 1 -# log1p -Test "log1p (-0.3) == -0.35667494393873237891263871124118447": +# sincos +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 585 -ldouble: 585 -Test "log1p (M_El - 1.0) == 1": -ldouble: 1 -ildouble: 1 - -# log2 -Test "log2 (0.7) == -0.51457317282975824043": +Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1688 -ldouble: 1688 - -# pow -Test "pow (0.7, 1.2) == 0.65180494056638638188": -ildouble: 725 -ldouble: 725 - -# sin -Test "sin (0.7) == 0.64421768723769105367261435139872014": -ildouble: 627 -ldouble: 627 - -# sincos -Test "sincos (0.7, &sin_res, &cos_res) puts 0.64421768723769105367261435139872014 in sin_res": -ildouble: 627 -ldouble: 627 -Test "sincos (0.7, &sin_res, &cos_res) puts 0.76484218728448842625585999019186495 in cos_res": -double: 1 -idouble: 1 -ildouble: 528 -ldouble: 528 -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.5 in cos_res": -double: 1 -float: 0.5 -idouble: 1 -ifloat: 0.5 -Test "sincos (M_PI_6l*2.0, &sin_res, &cos_res) puts 0.86602540378443864676372317075293616 in sin_res": +ildouble: 1 +ldouble: 1 +Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": double: 1 float: 1 idouble: 1 ifloat: 1 ildouble: 1 ldouble: 1 -Test "sincos (pi/2, &sin_res, &cos_res) puts 0 in cos_res": -double: 0.2758 -float: 0.3667 -idouble: 0.2758 -ifloat: 0.3667 -ildouble: 0.25 -ldouble: 0.25 # sinh -Test "sinh (0.7) == 0.75858370183953350346": -float: 1 -ifloat: 1 -ildouble: 1028 -ldouble: 1029 - -# sqrt -Test "sqrt (0.7) == 0.83666002653407554798": -ildouble: 489 -ldouble: 489 -Test "sqrt (15239.9025) == 123.45": -ildouble: 325 -ldouble: 325 +Test "sinh (0.75) == 0.822316731935829980703661634446913849": +ildouble: 1 # tan -Test "tan (0.7) == 0.84228838046307944812813500221293775": -ildouble: 1401 -ldouble: 1401 Test "tan (pi/4) == 1": -double: 0.5 -idouble: 0.5 - -# tanh -Test "tanh (0.7) == 0.60436777711716349631": -ildouble: 521 -ldouble: 521 -Test "tanh (-0.7) == -0.60436777711716349631": -ildouble: 1 -ldouble: 1 +double: 1 +idouble: 1 # tgamma Test "tgamma (-0.5) == -2 sqrt (pi)": @@ -961,8 +653,8 @@ double: 2 float: 1 idouble: 2 ifloat: 1 -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 Test "tgamma (0.5) == sqrt (pi)": float: 1 ifloat: 1 @@ -972,207 +664,128 @@ float: 1 idouble: 1 ifloat: 1 Test "tgamma (4) == 6": -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 # y0 -Test "y0 (0.1) == -1.5342386513503668441": +Test "y0 (0.125) == -1.38968062514384052915582277745018693": +ildouble: 1 +ldouble: 1 +Test "y0 (0.75) == -0.137172769385772397522814379396581855": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "y0 (0.7) == -0.19066492933739506743": -float: 1 -ifloat: 1 -double: 3 -idouble: 3 -ldouble: 2 -ildouble: 2 -Test "y0 (1.0) == 0.088256964215676957983": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -Test "y0 (1.5) == 0.38244892379775884396": -float: 1 -ifloat: 1 -double: 1 -idouble: 1 -Test "y0 (2.0) == 0.51037567264974511960": -double: 1 -idouble: 1 -Test "y0 (10.0) == 0.055671167283599391424": +Test "y0 (1.0) == 0.0882569642156769579829267660235151628": +ildouble: 1 +ldouble: 1 +Test "y0 (10.0) == 0.0556711672835993914244598774101900481": float: 1 ifloat: 1 -double: 2 -idouble: 2 +ildouble: 1 ldouble: 1 -ildouble: 2 -Test "y0 (8.0) == 0.22352148938756622053": +Test "y0 (8.0) == 0.223521489387566220527323400498620359": float: 1 ifloat: 1 -double: 1 -idouble: 1 -ldouble: 1 ildouble: 1 +ldouble: 1 # y1 -Test "y1 (0.1) == -6.4589510947020269877": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ldouble: 1 +Test "y1 (0.125) == -5.19993611253477499595928744876579921": ildouble: 1 -Test "y1 (0.7) == -1.1032498719076333697": -double: 1 -idouble: 1 -Test "y1 (1.0) == -0.78121282130028871655": -double: 1 -idouble: 1 -Test "y1 (1.5) == -0.41230862697391129595": -float: 1 -ifloat: 1 -Test "y1 (10.0) == 0.24901542420695388392": -double: 3 +ldouble: 1 +Test "y1 (10.0) == 0.249015424206953883923283474663222803": +double: 2 float: 2 -idouble: 3 +idouble: 2 ifloat: 2 -Test "y1 (2.0) == -0.10703243154093754689": +Test "y1 (2.0) == -0.107032431540937546888370772277476637": double: 1 float: 2 idouble: 1 ifloat: 2 -ldouble: 1 ildouble: 1 -Test "y1 (8.0) == -0.15806046173124749426": +ldouble: 1 +Test "y1 (8.0) == -0.158060461731247494255555266187483550": float: 2 ifloat: 2 -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 # yn -Test "yn (0, 0.1) == -1.5342386513503668441": +Test "yn (0, 0.125) == -1.38968062514384052915582277745018693": +ildouble: 1 +ldouble: 1 +Test "yn (0, 0.75) == -0.137172769385772397522814379396581855": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "yn (0, 0.7) == -0.19066492933739506743": -float: 1 -ifloat: 1 -double: 3 -idouble: 3 -ldouble: 2 -ildouble: 2 -Test "yn (0, 1.0) == 0.088256964215676957983": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -Test "yn (0, 1.5) == 0.38244892379775884396": -float: 1 -ifloat: 1 -double: 1 -idouble: 1 -Test "yn (0, 2.0) == 0.51037567264974511960": -double: 1 -idouble: 1 -Test "yn (0, 10.0) == 0.055671167283599391424": -float: 1 -ifloat: 1 -double: 2 -idouble: 2 -ldouble: 1 +Test "yn (0, 1.0) == 0.0882569642156769579829267660235151628": ildouble: 1 -Test "yn (0, 8.0) == 0.22352148938756622053": +ldouble: 1 +Test "yn (0, 10.0) == 0.0556711672835993914244598774101900481": float: 1 ifloat: 1 -double: 1 -idouble: 1 -ldouble: 1 ildouble: 1 -Test "yn (1, 0.1) == -6.4589510947020269877": -double: 1 +ldouble: 1 +Test "yn (0, 8.0) == 0.223521489387566220527323400498620359": float: 1 -idouble: 1 ifloat: 1 +ildouble: 1 ldouble: 1 +Test "yn (1, 0.125) == -5.19993611253477499595928744876579921": ildouble: 1 -Test "yn (1, 0.7) == -1.1032498719076333697": -double: 1 -idouble: 1 -Test "yn (1, 1.0) == -0.78121282130028871655": -double: 1 -idouble: 1 -Test "yn (1, 1.5) == -0.41230862697391129595": -float: 1 -ifloat: 1 -Test "yn (1, 10.0) == 0.24901542420695388392": -double: 3 +ldouble: 1 +Test "yn (1, 10.0) == 0.249015424206953883923283474663222803": +double: 2 float: 2 -idouble: 3 +idouble: 2 ifloat: 2 -Test "yn (1, 2.0) == -0.10703243154093754689": +Test "yn (1, 2.0) == -0.107032431540937546888370772277476637": double: 1 float: 2 idouble: 1 ifloat: 2 -ldouble: 1 ildouble: 1 -Test "yn (1, 8.0) == -0.15806046173124749426": +ldouble: 1 +Test "yn (1, 8.0) == -0.158060461731247494255555266187483550": float: 2 ifloat: 2 -ldouble: 2 -ildouble: 2 -Test "yn (10, 0.1) == -0.11831335132045197885e19": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ldouble: 2 -ildouble: 2 -Test "yn (10, 0.7) == -0.42447194260703866924e10": -double: 6 -float: 3 -idouble: 6 -ifloat: 3 -ldouble: 7 -ildouble: 7 -Test "yn (10, 1.0) == -0.12161801427868918929e9": +ildouble: 1 +ldouble: 1 +Test "yn (10, 0.125) == -127057845771019398.252538486899753195": double: 1 float: 1 idouble: 1 ifloat: 1 -Test "yn (10, 10.0) == -0.35981415218340272205": -double: 2 +ildouble: 2 +ldouble: 2 +Test "yn (10, 0.75) == -2133501638.90573424452445412893839236": float: 1 -idouble: 2 ifloat: 1 -Test "yn (10, 2.0) == -129184.54220803928264": +ildouble: 4 +ldouble: 4 +Test "yn (10, 1.0) == -121618014.278689189288130426667971145": float: 1 ifloat: 1 -double: 2 -idouble: 2 -ldouble: 1 -ildouble: 1 -Test "yn (3, 0.1) == -5099.3323786129048894": +Test "yn (10, 10.0) == -0.359814152183402722051986577343560609": double: 1 float: 1 idouble: 1 ifloat: 1 -ldouble: 2 -ildouble: 2 -Test "yn (3, 0.7) == -15.819479052819633505": -double: 3 -idouble: 3 -ldouble: 2 -ildouble: 2 -Test "yn (3, 2.0) == -1.1277837768404277861": +Test "yn (10, 2.0) == -129184.542208039282635913145923304214": float: 1 ifloat: 1 +Test "yn (3, 0.125) == -2612.69757350066712600220955744091741": +ildouble: 1 +ldouble: 1 +Test "yn (3, 0.75) == -12.9877176234475433186319774484809207": double: 1 idouble: 1 -Test "yn (3, 10.0) == -0.25136265718383732978": +ildouble: 2 +ldouble: 2 +Test "yn (3, 10.0) == -0.251362657183837329779204747654240998": double: 1 float: 1 idouble: 1 @@ -1180,466 +793,330 @@ ifloat: 1 # Maximal error of functions: Function: "acos": -ildouble: 1150 -ldouble: 1150 - -Function: "acosh": -ildouble: 1 -ldouble: 1 +ildouble: 622 +ldouble: 622 Function: "asin": -double: 1 ldouble: 1 -ildouble: 1 - -Function: "asinh": -ildouble: 656 -ldouble: 656 - -Function: "atan": -ildouble: 549 -ldouble: 549 - -Function: "atan2": -ildouble: 549 -ldouble: 549 Function: "atanh": -double: 1 -idouble: 1 -ildouble: 1605 -ldouble: 1605 - -Function: "cabs": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 560 -ldouble: 560 +ildouble: 2 +ldouble: 1 -Function: Real part of "cacos": -double: 1 +Function: Imaginary part of "cacos": float: 1 -idouble: 1 ifloat: 1 -ildouble: 151 -ldouble: 151 - -Function: Imaginary part of "cacos": -float: 2 -ifloat: 2 -ildouble: 329 -ldouble: 329 +ildouble: 2 +ldouble: 2 Function: Real part of "cacosh": double: 1 -float: 4 +float: 9 idouble: 1 -ifloat: 4 -ildouble: 328 -ldouble: 328 +ifloat: 9 +ildouble: 6 +ldouble: 6 Function: Imaginary part of "cacosh": double: 1 -float: 4 idouble: 1 -ifloat: 4 -ildouble: 151 -ldouble: 151 +ildouble: 1 +ldouble: 1 Function: Real part of "casin": -double: 3 -float: 2 -idouble: 3 -ifloat: 2 -ildouble: 603 -ldouble: 603 +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 Function: Imaginary part of "casin": -float: 2 -ifloat: 2 -ildouble: 329 -ldouble: 329 +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 Function: Real part of "casinh": double: 5 float: 1 idouble: 5 ifloat: 1 -ildouble: 892 -ldouble: 892 +ildouble: 5 +ldouble: 5 Function: Imaginary part of "casinh": double: 3 float: 6 idouble: 3 ifloat: 6 -ildouble: 12 -ldouble: 12 - -Function: Real part of "catan": -ildouble: 251 -ldouble: 251 +ildouble: 5 +ldouble: 5 Function: Imaginary part of "catan": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 474 -ldouble: 474 Function: Real part of "catanh": double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 66 -ldouble: 66 - -Function: Imaginary part of "catanh": -ildouble: 447 -ldouble: 447 +ildouble: 1 +ldouble: 1 Function: "cbrt": -double: 1 -idouble: 1 -ildouble: 716 -ldouble: 716 +ildouble: 1 +ldouble: 1 Function: Real part of "ccos": double: 1 -float: 1 idouble: 1 -ifloat: 1 -ildouble: 5 -ldouble: 5 +ildouble: 1 +ldouble: 1 Function: Imaginary part of "ccos": -double: 1 float: 1 -idouble: 1 ifloat: 1 -ildouble: 1901 -ldouble: 1901 +ildouble: 1 +ldouble: 1 Function: Real part of "ccosh": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1467 -ldouble: 1467 Function: Imaginary part of "ccosh": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 1183 -ldouble: 1183 +ildouble: 1 +ldouble: 1 Function: Real part of "cexp": -float: 1 -ifloat: 1 -ildouble: 940 -ldouble: 940 +ildouble: 201 +ldouble: 201 Function: Imaginary part of "cexp": -ildouble: 1067 -ldouble: 1067 +ildouble: 1 +ldouble: 1 Function: Real part of "clog": - -Function: Imaginary part of "clog": +float: 1 +ifloat: 1 ildouble: 1 ldouble: 1 Function: Real part of "clog10": -double: 2 +double: 1 float: 1 -idouble: 2 +idouble: 1 ifloat: 1 -ildouble: 1403 -ldouble: 1403 +ildouble: 1 +ldouble: 1 Function: Imaginary part of "clog10": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 186 -ldouble: 186 +ildouble: 1 +ldouble: 1 Function: "cos": double: 2 float: 1 idouble: 2 ifloat: 1 -ildouble: 529 -ldouble: 529 +ildouble: 1 +ldouble: 1 Function: "cosh": -ildouble: 309 -ldouble: 309 +ildouble: 1 Function: Real part of "cpow": double: 1 float: 4 idouble: 1 ifloat: 4 -ldouble: 2 -ildouble: 2 +ildouble: 763 +ldouble: 763 Function: Imaginary part of "cpow": -double: 1.104 -float: 2.5333 -idouble: 1.104 -ifloat: 2.5333 -ildouble: 9 -ldouble: 9 +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 2 +ldouble: 2 Function: Real part of "csin": -ildouble: 966 -ldouble: 966 +float: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 Function: Imaginary part of "csin": -ildouble: 168 -ldouble: 168 +float: 1 +ifloat: 1 Function: Real part of "csinh": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 413 -ldouble: 413 +ildouble: 1 +ldouble: 1 Function: Imaginary part of "csinh": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 477 -ldouble: 477 - -Function: Real part of "csqrt": -double: 1 -idouble: 1 -ildouble: 237 -ldouble: 237 - -Function: Imaginary part of "csqrt": -ildouble: 128 -ldouble: 128 +ildouble: 2 +ldouble: 2 Function: Real part of "ctan": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 690 -ldouble: 690 +ildouble: 439 +ldouble: 439 Function: Imaginary part of "ctan": -double: 1 float: 1 -idouble: 1 ifloat: 1 -ildouble: 367 -ldouble: 367 +ildouble: 3 +ldouble: 3 Function: Real part of "ctanh": float: 1 ifloat: 1 -ildouble: 286 -ldouble: 286 +ildouble: 5 +ldouble: 5 Function: Imaginary part of "ctanh": +double: 1 float: 1 +idouble: 1 ifloat: 1 +ildouble: 25 +ldouble: 25 + +Function: "erf": double: 1 idouble: 1 -ildouble: 3074 -ldouble: 3074 Function: "erfc": -double: 24 -float: 12 -idouble: 24 -ifloat: 12 -ldouble: 36 -ildouble: 36 +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 Function: "exp": ildouble: 754 -ldouble: 754 Function: "exp10": -double: 1 -idouble: 1 -ildouble: 1182 -ldouble: 1182 - -Function: "exp2": -ildouble: 462 -ldouble: 462 - -Function: "expm1": -ildouble: 825 -ldouble: 825 - -Function: "fmod": -double: 2 -float: 1 -idouble: 2 -ifloat: 1 -ildouble: 4096 -ldouble: 4096 +ildouble: 8 +ldouble: 8 Function: "gamma": double: 1 idouble: 1 -ldouble: 1 ildouble: 1 +ldouble: 1 Function: "hypot": -double: 1 float: 1 -ildouble: 560 -ldouble: 560 Function: "j0": +double: 1 float: 1 +idouble: 1 ifloat: 1 -double: 2 -idouble: 2 -ldouble: 1 ildouble: 1 +ldouble: 1 Function: "j1": -double: 2 +double: 1 float: 1 -idouble: 2 +idouble: 1 ifloat: 1 -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 Function: "jn": -double: 5 +double: 1 float: 2 -idouble: 5 +idouble: 1 ifloat: 2 -ldouble: 2 ildouble: 2 +ldouble: 2 Function: "lgamma": double: 1 float: 2 idouble: 1 ifloat: 2 -ldouble: 1 ildouble: 1 +ldouble: 1 Function: "log": -double: 1 float: 1 -idouble: 1 ifloat: 1 -ildouble: 2341 -ldouble: 2341 Function: "log10": -double: 1 float: 1 -idouble: 1 ifloat: 1 -ildouble: 2033 -ldouble: 2033 - -Function: "log1p": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 585 -ldouble: 585 - -Function: "log2": -double: 1 -float: 1 -idouble: 1 -ifloat: 1 -ildouble: 1688 -ldouble: 1688 - -Function: "pow": -ildouble: 725 -ldouble: 725 - -Function: "sin": -ildouble: 627 -ldouble: 627 +ildouble: 1 +ldouble: 1 Function: "sincos": double: 1 float: 1 idouble: 1 ifloat: 1 -ildouble: 627 -ldouble: 627 +ildouble: 1 +ldouble: 1 Function: "sinh": -float: 1 -ifloat: 1 -ildouble: 1028 -ldouble: 1029 - -Function: "sqrt": -ildouble: 489 -ldouble: 489 +ildouble: 1 Function: "tan": -double: 0.5 -idouble: 0.5 -ildouble: 1401 -ldouble: 1401 - -Function: "tanh": -ildouble: 521 -ldouble: 521 +double: 1 +idouble: 1 Function: "tgamma": double: 2 float: 1 idouble: 2 ifloat: 1 -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 Function: "y0": -double: 3 +double: 1 float: 1 -idouble: 3 +idouble: 1 ifloat: 1 -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 Function: "y1": -double: 3 +double: 2 float: 2 -idouble: 3 +idouble: 2 ifloat: 2 -ldouble: 2 -ildouble: 2 +ildouble: 1 +ldouble: 1 Function: "yn": -double: 6 -float: 3 -idouble: 6 -ifloat: 3 -ldouble: 7 -ildouble: 7 +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 # end of automatic generation diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps index f533d69c6e..491e2d0e3b 100644 --- a/sysdeps/x86_64/fpu/libm-test-ulps +++ b/sysdeps/x86_64/fpu/libm-test-ulps @@ -1491,3 +1491,15 @@ ildouble: 7 ldouble: 7 # end of automatic generation + +Test "j0 (4.0) == -3.9714980986384737228659076845169804197562E-1": +idouble: 1 +double: 1 +ifloat: 1 +float: 1 +Test "j0 (-4.0) == -3.9714980986384737228659076845169804197562E-1": +idouble: 1 +double: 1 +ifloat: 1 +float: 1 + |